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Diameter of thin spherical shell given strain in any one direction Formula

GoDiameter of spherical shell given change in diameter of thin spherical shells Formula

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Diameter of Sphere, is a chord that runs through the center point of the circle. It is the longest possible chord of any circle. The center of a circle is the midpoint of its diameter. Check FAQs

D = \frac{ε \cdot \frac{4 \cdot t \cdot E}{1 - 𝛎}}{P i}

D - Diameter of Sphere?ε - Strain in thin shell?t - Thickness Of Thin Spherical Shell?E - Modulus of Elasticity Of Thin Shell?𝛎 - Poisson's Ratio?P_i - Internal Pressure?

Diameter of thin spherical shell given strain in any one direction Example

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Here is how the Diameter of thin spherical shell given strain in any one direction equation looks like with Values.

Here is how the Diameter of thin spherical shell given strain in any one direction equation looks like with Units.

Here is how the Diameter of thin spherical shell given strain in any one direction equation looks like.

38814.0162 = \frac{3 \cdot \frac{4 \cdot 12 \cdot 10}{1 - 0.3}}{0.053}

38814.0162mm = \frac{3 \cdot \frac{4 \cdot 12mm \cdot 10MPa}{1 - 0.3}}{0.053MPa}

38814.0162 = \frac{3 \cdot \frac{4 \cdot 12 \cdot 10}{1 - 0.3}}{0.053}

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Diameter of thin spherical shell given strain in any one direction Solution

Follow our step by step solution on how to calculate Diameter of thin spherical shell given strain in any one direction?

FIRST Step Consider the formula

D = \frac{ε \cdot \frac{4 \cdot t \cdot E}{1 - 𝛎}}{P i}

Next Step Substitute values of Variables

∴

D = \frac{3 \cdot \frac{4 \cdot 12mm \cdot 10MPa}{1 - 0.3}}{0.053MPa}

Next Step Convert Units

∴

D = \frac{3 \cdot \frac{4 \cdot 0.012m \cdot 1E+7Pa}{1 - 0.3}}{53000Pa}

Next Step Prepare to Evaluate

∴

D = \frac{3 \cdot \frac{4 \cdot 0.012 \cdot 1E+7}{1 - 0.3}}{53000}

Next Step Evaluate

∴

D = 38.8140161725067m

Next Step Convert to Output's Unit

∴

D = 38814.0161725067mm

LAST Step Rounding Answer

∴

D = 38814.0162mm

Diameter of thin spherical shell given strain in any one direction Formula Elements

Variables

Diameter of Sphere

Diameter of Sphere, is a chord that runs through the center point of the circle. It is the longest possible chord of any circle. The center of a circle is the midpoint of its diameter.

Symbol: D

Measurement: LengthUnit: mm

Note: Value should be greater than 0.

Formulas to find Diameter of Sphere

Strain in thin shell

Strain in thin shell is simply the measure of how much an object is stretched or deformed.

Symbol: ε

Measurement: NAUnit: Unitless

Note: Value can be positive or negative.

Formulas to find Strain in thin shell

Thickness Of Thin Spherical Shell

Thickness Of Thin Spherical Shell is the distance through an object.

Symbol: t

Measurement: LengthUnit: mm

Note: Value should be greater than 0.

Formulas to find Thickness Of Thin Spherical Shell

Modulus of Elasticity Of Thin Shell

Modulus of Elasticity Of Thin Shell is a quantity that measures an object or substance's resistance to being deformed elastically when a stress is applied to it.

Symbol: E

Measurement: PressureUnit: MPa

Note: Value should be greater than 0.

Formulas to find Modulus of Elasticity Of Thin Shell

Poisson's Ratio

Poisson's Ratio is defined as the ratio of the lateral and axial strain. For many metals and alloys, values of Poisson’s ratio range between 0.1 and 0.5.

Symbol: 𝛎

Measurement: NAUnit: Unitless

Note: Value can be positive or negative.

Formulas to find Poisson's Ratio

Internal Pressure

Internal Pressure is a measure of how the internal energy of a system changes when it expands or contracts at a constant temperature.

Symbol: P_i

Measurement: PressureUnit: MPa

Note: Value can be positive or negative.

Formulas to find Internal Pressure

Other Formulas to find Diameter of Sphere

Go Diameter of spherical shell given change in diameter of thin spherical shells

D = \sqrt{\frac{∆d \cdot \frac{4 \cdot t \cdot E}{1 - 𝛎}}{P i}}

Other formulas in Change in Dimension of Thin Spherical Shell due to Internal Pressure category

Go Strain in any one direction of thin spherical shell

ε = (\frac{σ θ}{E}) \cdot (1 - 𝛎)

Go Hoop stress induced in thin spherical shell given strain in any one direction

σ θ = (\frac{ε}{1 - 𝛎}) \cdot E

Go Hoop stress in thin spherical shell given strain in any one direction and Poisson's ratio

σ θ = (\frac{ε}{1 - 𝛎}) \cdot E

Go Modulus of elasticity of thin spherical shell given strain in any one direction

E = (\frac{σ θ}{ε}) \cdot (1 - 𝛎)

How to Evaluate Diameter of thin spherical shell given strain in any one direction?

Diameter of thin spherical shell given strain in any one direction evaluator uses Diameter of Sphere = (Strain in thin shell*(4*Thickness Of Thin Spherical Shell*Modulus of Elasticity Of Thin Shell)/(1-Poisson's Ratio))/(Internal Pressure) to evaluate the Diameter of Sphere, The Diameter of thin spherical shell given strain in any one direction formula is defined as a chord that runs through the center point of the circle. It is the longest possible chord of any circle. Diameter of Sphere is denoted by D symbol.

How to evaluate Diameter of thin spherical shell given strain in any one direction using this online evaluator? To use this online evaluator for Diameter of thin spherical shell given strain in any one direction, enter Strain in thin shell (ε), Thickness Of Thin Spherical Shell (t), Modulus of Elasticity Of Thin Shell (E), Poisson's Ratio (𝛎) & Internal Pressure (P_i) and hit the calculate button.

FAQs on Diameter of thin spherical shell given strain in any one direction

What is the formula to find Diameter of thin spherical shell given strain in any one direction?

The formula of Diameter of thin spherical shell given strain in any one direction is expressed as Diameter of Sphere = (Strain in thin shell*(4*Thickness Of Thin Spherical Shell*Modulus of Elasticity Of Thin Shell)/(1-Poisson's Ratio))/(Internal Pressure). Here is an example- 3.9E+7 = (3*(4*0.012*10000000)/(1-0.3))/(53000).

How to calculate Diameter of thin spherical shell given strain in any one direction?

With Strain in thin shell (ε), Thickness Of Thin Spherical Shell (t), Modulus of Elasticity Of Thin Shell (E), Poisson's Ratio (𝛎) & Internal Pressure (P_i) we can find Diameter of thin spherical shell given strain in any one direction using the formula - Diameter of Sphere = (Strain in thin shell*(4*Thickness Of Thin Spherical Shell*Modulus of Elasticity Of Thin Shell)/(1-Poisson's Ratio))/(Internal Pressure).

What are the other ways to Calculate Diameter of Sphere?

Here are the different ways to Calculate Diameter of Sphere-

Diameter of Sphere=sqrt((Change in Diameter*(4*Thickness Of Thin Spherical Shell*Modulus of Elasticity Of Thin Shell)/(1-Poisson's Ratio))/(Internal Pressure))

Can the Diameter of thin spherical shell given strain in any one direction be negative?

No, the Diameter of thin spherical shell given strain in any one direction, measured in Length cannot be negative.

Which unit is used to measure Diameter of thin spherical shell given strain in any one direction?

Diameter of thin spherical shell given strain in any one direction is usually measured using the Millimeter[mm] for Length. Meter[mm], Kilometer[mm], Decimeter[mm] are the few other units in which Diameter of thin spherical shell given strain in any one direction can be measured.

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Diameter of thin spherical shell given strain in any one direction Formula

​GoDiameter of spherical shell given change in diameter of thin spherical shells Formula

Diameter of thin spherical shell given strain in any one direction Example

Diameter of thin spherical shell given strain in any one direction Solution

Diameter of thin spherical shell given strain in any one direction Formula Elements

Other Formulas to find Diameter of Sphere

Other formulas in Change in Dimension of Thin Spherical Shell due to Internal Pressure category

How to Evaluate Diameter of thin spherical shell given strain in any one direction?

FAQs on Diameter of thin spherical shell given strain in any one direction

Variable Name

GoDiameter of spherical shell given change in diameter of thin spherical shells Formula